English

Natural Factors of the Muchnik Lattice Capturing IPC

Logic 2013-06-28 v2

Abstract

We give natural examples of factors of the Muchnik lattice which capture intuitionistic propositional logic (IPC), arising from the concepts of lowness, 1-genericity, hyperimmune-freeness and computable traceability. This provides a purely computational semantics for IPC.

Keywords

Cite

@article{arxiv.1210.6538,
  title  = {Natural Factors of the Muchnik Lattice Capturing IPC},
  author = {Rutger Kuyper},
  journal= {arXiv preprint arXiv:1210.6538},
  year   = {2013}
}

Comments

Various minor corrections